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Finding the Fourth Proportional to 1,608.55, 2,413.19 and 684.13

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Solution

The fourth proportional to 1,608.55, 2,413.19 and 684.13 is: 1,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.55 : 2,413.19 = 684.13 : x
  2. Step 2: Convert to fraction form
    1,608.55/2,413.19 = 684.13/x
  3. Step 3: Cross multiply
    1,608.55x = 2,413.19 × 684.13
  4. Step 4: Simplify right side
    1,608.55x = 1,650,935.67
  5. Step 5: Solve for x
    x = 1,650,935.67/1,608.55
  6. Step 6: Final answer
    x = 1,026.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.